What is the Greatest Common Factor of 91780 and 91795?

Greatest common factor (GCF) of 91780 and 91795 is 5.

GCF(91780,91795) = 5

We will now calculate the prime factors of 91780 and 91795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91780 and 91795.

How to find the GCF of 91780 and 91795?

We will first find the prime factorization of 91780 and 91795. After we will calculate the factors of 91780 and 91795 and find the biggest common factor number .

Step-1: Prime Factorization of 91780

Prime factors of 91780 are 2, 5, 13, 353. Prime factorization of 91780 in exponential form is:

91780 = 2² × 5¹ × 13¹ × 353¹

Step-2: Prime Factorization of 91795

Prime factors of 91795 are 5, 11, 1669. Prime factorization of 91795 in exponential form is:

91795 = 5¹ × 11¹ × 1669¹

Step-3: Factors of 91780

List of positive integer factors of 91780 that divides 91780 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 353, 706, 1412, 1765, 3530, 4589, 7060, 9178, 18356, 22945, 45890

Step-4: Factors of 91795

List of positive integer factors of 91795 that divides 91780 without a remainder.

1, 5, 11, 55, 1669, 8345, 18359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91780 and 91795. The biggest common factor number is the GCF number.
So the greatest common factor 91780 and 91795 is 5.

Also check out the Least Common Multiple of 91780 and 91795